The Complex Model Of The Universe
Dr Narayan Kumar Bhadra · IOSR Journal of Mathematics · 2012
We study a super unified theory with gauge group SU(11).The subgroup SU(6) has been interpreted as a new type of energy source other than SU(5)[SU(5) SU(3) SU(2) U(1)], where SU(3) the strong energy group; SU(2) the weak energy group & U(1) the electro dynamics].We consider a (4+D)-dimensional Friedmann-Robertson-Walker type universe having complex scale factor R + iR I , where R is the scale factor corresponding to the usual 4 -dimensional Universe while R I is that of D-dimensional space.It is then compared with (4+D)-dimensional Kaluza-Klein Cosmology having two scale factors R and a(= iR I ).It is shown that the rate of compactification of higher dimension depends on extra dimension 'D'.The Wheeler-DeWitt equation is constructed and general solution is obtained.It is found that for D = 6 (i.e. in 10 dimension), the Wheeler-DeWitt equation is symmetric under the exchange R I R. I.